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Graphing Absolute Value Functions Explained

Graphing Absolute Value Functions Explained

Assessment

Interactive Video

•

Mathematics

•

8th - 12th Grade

•

Practice Problem

•

Hard

•
CCSS
HSF-IF.C.7D, HSF.IF.A.2

Standards-aligned

Created by

Amelia Wright

FREE Resource

Standards-aligned

CCSS.HSF-IF.C.7D
,
CCSS.HSF.IF.A.2
The video tutorial explains how to graph absolute value functions by hand, emphasizing the importance of identifying the vertex to accurately sketch the V-shape of the graph. It provides step-by-step instructions for graphing three examples, each with different vertex positions, and highlights the pattern recognition in the graphing process. The tutorial concludes with tips for ensuring accuracy and understanding the slope of the graph when no stretching or compressing is involved.

Read more

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it important to know the vertex when graphing absolute value functions?

It helps in determining the y-intercept.

It provides the highest point of the graph.

It determines the slope of the graph.

It helps in choosing appropriate x-values for a complete graph.

Tags

CCSS.HSF-IF.C.7D

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the general form of an absolute value function?

f(x) = a|x - h| + k

f(x) = ax + b

f(x) = |x - h| + k

f(x) = x^2 + bx + c

Tags

CCSS.HSF-IF.C.7D

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

For the function f(x) = |x - 4| + 1, what is the vertex?

(4, 1)

(-4, -1)

(-4, 1)

(4, -1)

Tags

CCSS.HSF-IF.C.7D

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When graphing f(x) = |x - 4| + 1, what are the y-values for x = 2 and x = 6?

4 and 4

2 and 2

3 and 3

1 and 1

Tags

CCSS.HSF-IF.C.7D

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

For the function f(x) = |x + 3|, what is the x-coordinate of the vertex?

3

-3

0

1

Tags

CCSS.HSF-IF.C.7D

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the y-coordinate of the vertex for the function f(x) = |x + 3|?

0

1

3

-3

Tags

CCSS.HSF-IF.C.7D

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

For the function f(x) = |x| - 2, what is the vertex?

(2, 0)

(0, -2)

(-2, 0)

(0, 2)

Tags

CCSS.HSF-IF.C.7D

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